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Finding the Fourth Proportional to 13,692.08, 20,531.48 and 8,146.16

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Solution

The fourth proportional to 13,692.08, 20,531.48 and 8,146.16 is: 12,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.08 : 20,531.48 = 8,146.16 : x
  2. Step 2: Convert to fraction form
    13,692.08/20,531.48 = 8,146.16/x
  3. Step 3: Cross multiply
    13,692.08x = 20,531.48 × 8,146.16
  4. Step 4: Simplify right side
    13,692.08x = 167,252,721.12
  5. Step 5: Solve for x
    x = 167,252,721.12/13,692.08
  6. Step 6: Final answer
    x = 12,215.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.